Let I denote the 3×3 identity matrix and P be a matrix obtained by rearranging the columns of I. Then
Let →A=a^i+b^j+c^k be a unit vector and →B is another vector in R3 such that |→A×→B|=1,→C=13(2^i+2^j−^k) and (→A×→B).→C= 1, then which of the following statement(s) is/are correct?
This section contains four questions, each having two matching lists. Choices for the correct combination of elements from List – I and List – II are given as options (A), (B), (C) and (D), out of which one is correct.
List - IList - IIP.If α=π7 then1cosα+2 cosαcos 2α1.2Q.Ltx→∞[(x−1)(x−2)(x+3)(x+5)(x+10)]15−x=2.3R.∫2−23x2dx1+ex=3.4S.Let f(x)=x3+x2+2x−1.The minimum integral value of x4.8if x satisfies f(f(x)) > f(2x + 1) is